If (x + k) is the HCF of (x2 + 12x + 35) and (x2 + 2x – 35), then wh

1.	If (x + k) is the HCF of (x2 + 12x + 35) and (x2 + 2x – 35), then what is the value of k?1. 52. 23. 34. 7
Answer» Correct Answer - Option 4 : 7 Given: Our polynomials are (x2 + 12x + 35) and (x2 + 2x – 35) Concept used: The HCF defines the greatest factor present in between two or more numbers. Calculation: Taking one polynomial (x2 + 12x + 35) ⇒ (x2 + 7x + 5x + 35) ⇒ (x + 7)(x + 5) Taking another polynomial (x2 + 2x – 35) ⇒ (x2 + 2x – 35) ⇒ (x2 + 7x – 5x – 35) ⇒ (x + 7)(x – 5) In the two polynomial the highest common factor is (x + 7) So the HCF is (x + 7) By comparing both the HCF, the value of k is 7 ∴ The value of k is 7

If (x + k) is the HCF of (x2 + 12x + 35) and (x2 + 2x – 35), then what is the value of k?1. 52. 23. 34. 7

Answer» Correct Answer - Option 4 : 7

Given:

Our polynomials are (x2 + 12x + 35) and (x2 + 2x – 35)

Concept used:

The HCF defines the greatest factor present in between two or more numbers.

Calculation:

Taking one polynomial (x2 + 12x + 35)

⇒ (x2 + 7x + 5x + 35)

⇒ (x + 7)(x + 5)

Taking another polynomial (x2 + 2x – 35)

⇒ (x2 + 2x – 35)

⇒ (x2 + 7x – 5x – 35)

⇒ (x + 7)(x – 5)

In the two polynomial the highest common factor is (x + 7)

So the HCF is (x + 7)

By comparing both the HCF, the value of k is 7

∴ The value of k is 7

Discussion

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